Home / 1,206.32-1,664.34-708.80

Finding the Fourth Proportional to 1,206.32, 1,664.34 and 708.80

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Solution

The fourth proportional to 1,206.32, 1,664.34 and 708.80 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.32 : 1,664.34 = 708.80 : x
  2. Step 2: Convert to fraction form
    1,206.32/1,664.34 = 708.80/x
  3. Step 3: Cross multiply
    1,206.32x = 1,664.34 × 708.80
  4. Step 4: Simplify right side
    1,206.32x = 1,179,684.19
  5. Step 5: Solve for x
    x = 1,179,684.19/1,206.32
  6. Step 6: Final answer
    x = 977.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.